TY - GEN T1 - A remark on the regularity of vector-valued mappings depending on two variables which minimize splitting-type variational integrals A1 - Bildhauer,Michael A1 - Fuchs,Martin Y1 - 2012/03/20 N2 - We combine a maximum principle for vector-valued mappings established by D’Ottavio, Leonetti and Musciano [DLM] with regularity results from [BF3] and prove the Hölder continuity of the first derivatives for local minimizers u:\Omega\rightarrow\mathbb{R}^{N} of splitting-type variational integrals provided \Omega is a domain in \mathbb{R}^{2}. CY - Saarbrücken PB - Universitäts- und Landesbibliothek AD - Postfach 151141, 66041 Saarbrücken UR - http://scidok.sulb.uni-saarland.de/volltexte/2012/4730 ER -